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How many solution(s) of the equation 2x + 1 = x – 3 are there on the number line? - Mathematics

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Question

How many solution(s) of the equation 2x + 1 = x – 3 are there on the number line?

Sum

Solution

2x + 1 = x – 3

2x – x = – 3 – 1

∴ x = – 4  ...(i)

And it can be written as 1.x + 0.y = – 4   ...(ii)

Number line represents all real values of x on the x-axis.

Therefore, x = – 4 is exactly one point which lies on the number line.

Representation on number line:

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Chapter 4: Linear Equation In Two Variables - Exercise 4.3 [Page 39]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 4 Linear Equation In Two Variables
Exercise 4.3 | Q 7. (i) | Page 39

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